Let X be a normal random variable with µ = 82 and σ = 4 . a. Sketch the distribution b. According to the Empirical Rule, the middle 68% of the data falls between what values? c. Find P(X < 83) d. Find P(X > 79) e. Find P(73 < X < 84) f. Find x such that P(X < x) = .97725